TSTP Solution File: SWV762-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV762-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:43:57 EDT 2023
% Result : Unsatisfiable 207.25s 26.71s
% Output : CNFRefutation 209.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 38
% Syntax : Number of formulae : 123 ( 41 unt; 0 def)
% Number of atoms : 225 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 181 ( 79 ~; 89 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 17 con; 0-3 aty)
% Number of variables : 133 (; 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [V_B,V_a,T_a] : c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [V_y,V_A,T_a,V_x] :
( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| ~ hBOOL(hAPP(V_A,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f156,axiom,
! [V_x,T_a] : c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,axiom,
! [V_x,V_xs,T_a] : c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,axiom,
! [V_Z,V_H,V_X] :
( hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
| ~ hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f255,axiom,
! [V_c,V_B,T_a,V_A] :
( hBOOL(c_in(V_c,V_B,T_a))
| hBOOL(c_in(V_c,V_A,T_a))
| ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f371,axiom,
! [V_A,V_B,V_X,V_evs] : c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f434,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f448,axiom,
! [V_agent1,V_agent2,V_msg,V_agent1_H,V_agent2_H,V_msg_H] :
( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
| V_agent1 = V_agent1_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f470,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f491,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f492,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f497,axiom,
! [V_y,V_xs,T_a,V_x] :
( hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))
| V_y = V_x
| ~ hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f510,axiom,
! [V_K,V_X,V_H] :
( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f526,axiom,
! [V_c,V_H] :
( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))
| hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f530,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f531,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f532,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f533,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f534,negated_conjecture,
! [V_x] : ~ hBOOL(c_in(c_Event_Oevent_OSays(V_x,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f535,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f538,axiom,
! [T_2,T_1] :
( class_Orderings_Opreorder(tc_fun(T_2,T_1))
| ~ class_Orderings_Opreorder(T_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f540,axiom,
! [T_2,T_1] :
( class_Orderings_Oorder(tc_fun(T_2,T_1))
| ~ class_Orderings_Oorder(T_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f551,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f553,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f616,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f723,plain,
! [V_A,V_x] :
( ! [V_y,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| ~ hBOOL(hAPP(V_A,V_x)) ),
inference(miniscoping,[status(esa)],[f120]) ).
fof(f724,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f723]) ).
fof(f782,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f834,plain,
! [X0,X1,X2] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f866,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f923,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X0,X1,X2))
| hBOOL(c_in(X0,X3,X2))
| ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)) ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f1067,plain,
! [X0,X1,X2,X3] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f1168,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(esa)],[f434]) ).
fof(f1191,plain,
! [V_agent1,V_agent1_H] :
( ! [V_agent2,V_msg,V_agent2_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
| V_agent1 = V_agent1_H ),
inference(miniscoping,[status(esa)],[f448]) ).
fof(f1192,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[status(esa)],[f1191]) ).
fof(f1224,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f1252,plain,
! [V_x,V_S] :
( ! [T_a] : hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f491]) ).
fof(f1253,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1252]) ).
fof(f1254,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ hBOOL(c_in(V_x,V_S,T_a)) ),
inference(miniscoping,[status(esa)],[f492]) ).
fof(f1255,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(c_in(X1,X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f1254]) ).
fof(f1263,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X0,c_List_Oset(X1,X2),X2))
| X0 = X3
| ~ hBOOL(c_in(X0,c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),X2)) ),
inference(cnf_transformation,[status(esa)],[f497]) ).
fof(f1280,plain,
! [V_K,V_H] :
( ! [V_X] :
( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) )
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ),
inference(miniscoping,[status(esa)],[f510]) ).
fof(f1281,plain,
! [X0,X1,X2] :
( hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X2,tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1280]) ).
fof(f1300,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f526]) ).
fof(f1304,plain,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f1305,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f1306,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f532]) ).
fof(f1307,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f533]) ).
fof(f1308,plain,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f534]) ).
fof(f1309,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(cnf_transformation,[status(esa)],[f535]) ).
fof(f1314,plain,
! [T_1] :
( ! [T_2] : class_Orderings_Opreorder(tc_fun(T_2,T_1))
| ~ class_Orderings_Opreorder(T_1) ),
inference(miniscoping,[status(esa)],[f538]) ).
fof(f1315,plain,
! [X0,X1] :
( class_Orderings_Opreorder(tc_fun(X0,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(cnf_transformation,[status(esa)],[f1314]) ).
fof(f1318,plain,
! [T_1] :
( ! [T_2] : class_Orderings_Oorder(tc_fun(T_2,T_1))
| ~ class_Orderings_Oorder(T_1) ),
inference(miniscoping,[status(esa)],[f540]) ).
fof(f1319,plain,
! [X0,X1] :
( class_Orderings_Oorder(tc_fun(X0,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(cnf_transformation,[status(esa)],[f1318]) ).
fof(f1332,plain,
class_Orderings_Opreorder(tc_bool),
inference(cnf_transformation,[status(esa)],[f551]) ).
fof(f1334,plain,
class_Orderings_Oorder(tc_bool),
inference(cnf_transformation,[status(esa)],[f553]) ).
fof(f1340,plain,
( spl0_0
<=> hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(split_symbol_definition) ).
fof(f1341,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( spl0_1
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f1345,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| spl0_1 ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( spl0_2
<=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(split_symbol_definition) ).
fof(f1349,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1309,f1340,f1343,f1346]) ).
fof(f1436,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(backward_demodulation,[status(thm)],[f834,f1306]) ).
fof(f1437,plain,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(backward_demodulation,[status(thm)],[f834,f1308]) ).
fof(f1714,plain,
! [X0] : ~ hBOOL(hAPP(c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X))),
inference(resolution,[status(thm)],[f1437,f1253]) ).
fof(f1785,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg))
| hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f866,f923]) ).
fof(f2238,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
inference(backward_demodulation,[status(thm)],[f1067,f1307]) ).
fof(f5872,plain,
( spl0_85
<=> c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))) ),
introduced(split_symbol_definition) ).
fof(f5873,plain,
( c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f5872]) ).
fof(f6394,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X0,c_List_Oset(X1,X2),X2))
| X0 = X3
| ~ hBOOL(c_in(X0,c_Set_Oinsert(X3,c_List_Oset(X1,X2),X2),X2)) ),
inference(forward_demodulation,[status(thm)],[f834,f1263]) ).
fof(f6395,plain,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) ),
inference(resolution,[status(thm)],[f6394,f1436]) ).
fof(f6396,plain,
( spl0_2
| spl0_85 ),
inference(split_clause,[status(thm)],[f6395,f1346,f5872]) ).
fof(f6408,plain,
( c_Message_Oagent_OSpy = c_Message_Oagent_OServer
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f5873,f1192]) ).
fof(f6409,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f6408,f1224]) ).
fof(f6410,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f6409]) ).
fof(f6440,plain,
( spl0_93
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f6441,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f6440]) ).
fof(f13810,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f6441,f1305]) ).
fof(f13811,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f13810]) ).
fof(f21007,plain,
! [X0] : ~ hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(X0,v_B,v_X))),
inference(resolution,[status(thm)],[f724,f1714]) ).
fof(f22010,plain,
( hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(v_x,v_B,v_X)))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f1341,f1255]) ).
fof(f22011,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f22010,f21007]) ).
fof(f22012,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f22011]) ).
fof(f70778,plain,
( spl0_4227
<=> hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f70780,plain,
( ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| spl0_4227 ),
inference(component_clause,[status(thm)],[f70778]) ).
fof(f77237,plain,
( spl0_4572
<=> class_Orderings_Opreorder(tc_fun(tc_Event_Oevent,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f77239,plain,
( ~ class_Orderings_Opreorder(tc_fun(tc_Event_Oevent,tc_bool))
| spl0_4572 ),
inference(component_clause,[status(thm)],[f77237]) ).
fof(f77242,plain,
( spl0_4573
<=> class_Orderings_Oorder(tc_fun(tc_Event_Oevent,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f77244,plain,
( ~ class_Orderings_Oorder(tc_fun(tc_Event_Oevent,tc_bool))
| spl0_4573 ),
inference(component_clause,[status(thm)],[f77242]) ).
fof(f82437,plain,
( spl0_4738
<=> c_lessequals(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f82439,plain,
( ~ c_lessequals(c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_4738 ),
inference(component_clause,[status(thm)],[f82437]) ).
fof(f82485,plain,
( $false
| spl0_4227 ),
inference(forward_subsumption_resolution,[status(thm)],[f70780,f1304]) ).
fof(f82486,plain,
spl0_4227,
inference(contradiction_clause,[status(thm)],[f82485]) ).
fof(f83011,plain,
( ~ class_Orderings_Opreorder(tc_bool)
| spl0_4572 ),
inference(resolution,[status(thm)],[f77239,f1315]) ).
fof(f83012,plain,
( $false
| spl0_4572 ),
inference(forward_subsumption_resolution,[status(thm)],[f83011,f1332]) ).
fof(f83013,plain,
spl0_4572,
inference(contradiction_clause,[status(thm)],[f83012]) ).
fof(f83014,plain,
( ~ class_Orderings_Oorder(tc_bool)
| spl0_4573 ),
inference(resolution,[status(thm)],[f77244,f1319]) ).
fof(f83015,plain,
( $false
| spl0_4573 ),
inference(forward_subsumption_resolution,[status(thm)],[f83014,f1334]) ).
fof(f83016,plain,
spl0_4573,
inference(contradiction_clause,[status(thm)],[f83015]) ).
fof(f83630,plain,
( spl0_4752
<=> c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f83632,plain,
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Set_Oinsert(v_Xa,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_4752 ),
inference(component_clause,[status(thm)],[f83630]) ).
fof(f83644,plain,
( $false
| spl0_4752 ),
inference(forward_subsumption_resolution,[status(thm)],[f83632,f616]) ).
fof(f83645,plain,
spl0_4752,
inference(contradiction_clause,[status(thm)],[f83644]) ).
fof(f83696,plain,
( spl0_4759
<=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f83698,plain,
( ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),c_Set_Oinsert(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_4759 ),
inference(component_clause,[status(thm)],[f83696]) ).
fof(f83834,plain,
( $false
| spl0_4759 ),
inference(forward_subsumption_resolution,[status(thm)],[f83698,f616]) ).
fof(f83835,plain,
spl0_4759,
inference(contradiction_clause,[status(thm)],[f83834]) ).
fof(f83839,plain,
( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_4738 ),
inference(forward_demodulation,[status(thm)],[f1168,f82439]) ).
fof(f83840,plain,
( $false
| spl0_4738 ),
inference(forward_subsumption_resolution,[status(thm)],[f83839,f782]) ).
fof(f83841,plain,
spl0_4738,
inference(contradiction_clause,[status(thm)],[f83840]) ).
fof(f84584,plain,
( spl0_4773
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f84585,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| ~ spl0_4773 ),
inference(component_clause,[status(thm)],[f84584]) ).
fof(f84587,plain,
( ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1785,f2238]) ).
fof(f84588,plain,
( ~ spl0_4227
| spl0_1
| spl0_4773 ),
inference(split_clause,[status(thm)],[f84587,f70778,f1343,f84584]) ).
fof(f85624,plain,
( spl0_4785
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f85625,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ spl0_4785 ),
inference(component_clause,[status(thm)],[f85624]) ).
fof(f85629,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ spl0_4773 ),
inference(resolution,[status(thm)],[f84585,f1281]) ).
fof(f85630,plain,
( spl0_4785
| spl0_93
| ~ spl0_4773 ),
inference(split_clause,[status(thm)],[f85629,f85624,f6440,f84584]) ).
fof(f85654,plain,
( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ spl0_4785 ),
inference(resolution,[status(thm)],[f85625,f1300]) ).
fof(f85655,plain,
( $false
| spl0_1
| ~ spl0_4785 ),
inference(forward_subsumption_resolution,[status(thm)],[f85654,f1345]) ).
fof(f85656,plain,
( spl0_1
| ~ spl0_4785 ),
inference(contradiction_clause,[status(thm)],[f85655]) ).
fof(f85657,plain,
$false,
inference(sat_refutation,[status(thm)],[f1349,f6396,f6410,f13811,f22012,f82486,f83013,f83016,f83645,f83835,f83841,f84588,f85630,f85656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV762-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:58:37 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 207.25/26.71 % Refutation found
% 207.25/26.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 207.25/26.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 215.31/28.21 % Elapsed time: 27.674351 seconds
% 215.31/28.21 % CPU time: 191.872196 seconds
% 215.31/28.21 % Memory used: 1.736 GB
%------------------------------------------------------------------------------